?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
Extra Form
일정시작 2020-10-29
배경색상 #036eb7

일시: 10월29일 목요일 오후2시
장소: 27동 220호 (14:00 ~ 16:00)

Title: Peterson conjecture via Lagrangian correspondences and wonderful compactifications

Speaker: 배한울(SNU)

 

Abstract: 

Let G be a compact simply-connected semisimple Lie group and let T be a maximal torus subgroup of G. Peterson conjecture says that the homology of the based loop space of G and the quantum cohomology of the full flag variety G/T are isomorphic as rings after a localization. In a joint work with Naichung Conan Leung, we found a geometric proof of the conjecture using a Floer theoretic technique.

In this talk, I will first discuss the wonderful compactification of the complexified Lie group of G. Identifying the complexified Lie group with the cotangent bundle of G, this helps us to visualize the moment Lagrangian correspondence from the cotangent bundle of G to the square ($G/T^{-} \times G/T$) of the flag variety G/T. Then I will explain that the A-infinity functor associated to the Lagrangian correspondence induces the desired isomorphism.

 

 

장소: 27동 220호 (16:00 ~ 18:00)

Title: A glimpse of derived/spectral algebraic geometry

Speaker: 조창연(SNU)

 

Abstract: 

Derived/spectral algebraic geometry is rather a new area where algebraic geometry is developed in the context of homotopy theory. I'll give a brief overview of this subject with at least one example in which working in the derived/spectral setting is indispensable. If time allows, I'll explain some of my contribution to the subject.


List of Articles
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 2473
22 [QSMS Monthly Seminar] Closed orbits and Beatty sequences qsms 2021.06.24 1605
21 [QSMS Monthly Seminar] Symmetric functions and super duality qsms 2021.05.28 1616
20 [정수론 집중강연 2021.08.03, 08.05] Geometric approaches to the local Langlands correspondence I-IV qsms 2021.07.29 1680
19 [Seminar 2021.04.23] Quiver Hecke algebras and unipotent quantum coordinate ring qsms 2021.04.09 1751
18 [Seminar 2021.04.02] CM congruence and the derivatives of p-adic L-functions for imaginary quadratic fields qsms 2021.04.19 1821
17 [Seminar 2021.05.28] Ramanujan continued fractions of order sixteen qsms 2021.05.21 1925
16 [Seminar 2020.12.03~05]Visual Studio Code를 사용하여 편리한 LaTeX 환경 구축하기 qsms 2020.12.02 1975
15 [Seminar 2021.06.15, 06.22] Cluster algebras with a view toward the Jacobian conjecture qsms 2021.05.28 2018
14 [Seminar 2020.11.25] On the ordering of the Markov numbers (AM 10:00~12:00) qsms 2020.11.18 2024
13 [Seminar 2021.04.29] A realization of type A finite $W$-(super)algebra in terms of (super) Yangian qsms 2021.04.09 2480
12 [초청강연 2020.11.20] Zeta함수와 L함수에 대한 역사적 고찰 qsms 2020.11.18 3615
11 [2021 KMS Spring Meeting] Related talks qsms 2021.04.30 4773
10 [Seminar 2021.04.16] Hecke system of harmonic Maass functions and applications to modular curves of higher genera qsms 2021.04.19 5584
9 [QSMS Monthly Seminar] Introduction to cluster algebras (and monoidal categorification) qsms 2020.11.18 6383
8 [QSMS Monthly Seminar] Canonical basis qsms 2020.11.18 6750
7 [Seminar 2021.04.02] Quantum affine analog of Kazhdan-Lusztig positivity for non-simply laced types via simply laced types qsms 2021.03.30 8057
6 [Seminar 2021.03.03] Zeta함수와 L함수에 대한 역사적 고찰X qsms 2021.03.02 8961
5 [Seminar 05.14, 05.21, 05.28, 06.04] Introduction to derived categories qsms 2021.04.16 16506
» [QSMS Monthly Seminar] Peterson conjecture via Lagrangian correspondences and wonderful compactifications qsms 2020.11.18 20557
3 [SNU Number Theory Seminiar] 2021.10.08 qsms 2021.08.23 21520
Board Pagination Prev 1 2 3 4 5 6 7 8 Next
/ 8